[petsc-dev] How do you get RIchardson?

[Matthew Knepley]

On Fri, Sep 16, 2011 at 3:35 PM, Jed Brown <jedbrown at mcs.anl.gov> wrote:

> On Fri, Sep 16, 2011 at 22:14, Matthew Knepley <knepley at gmail.com> wrote:
>
>> Water Resources is your standard for mathematical terminology?
>
>
> It's the whole first page of results for each query.
>
> More seriously though, what is the problem with
>
> x_{n+1} = A(x_n)^{-1} b
>
> being a valid fixed-point iteration?
>

It is of course a fixed point iteration, and your definition of Picard is a
classic logical
fallacy. This is a valid fixed point iteration, Picard refers to a fixed
point iteration,
therefore all Picard iterations are of this form. In fact, Picard
encompasses fixed
point iteration to solve nonlinear equations.

   Matt

-- 
What most experimenters take for granted before they begin their experiments
is infinitely more interesting than any results to which their experiments
lead.
-- Norbert Wiener
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